2010
DOI: 10.1038/jcbfm.2010.159
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Cumulative Input Function Method for Linear Compartmental Models and Spectral Analysis in PET

Abstract: Compartmental modeling and spectral analysis are often used for tracer kinetic modeling in positron emission tomography (PET). The concentrations in kinetic equations are usually considered to be instantaneous, whereas PET data are inherently integrated over time, which leads to uncertainties in the results. A new formalism for kinetic analysis that uses cumulative tracer concentrations and avoids approximating the image-derived input function and PET measurements with midframe instantanous values was develope… Show more

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Cited by 8 publications
(6 citation statements)
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“…In our study, the parameters K 1 , k 2 , k 3 and v b were not statistically significant different between all control and operated regions. This observation might correspond to the reported decrease of stability of K 1 , k 2 , k 3 compared to K i , NLR [ 31 , 34 , 35 ]. Cook et al stated that due to possible limitations of the model, the physiological significance of parameters k 2 and k 3 is not meaningful in relation to the mineralized skeleton [ 35 ].…”
Section: Discussionsupporting
confidence: 71%
“…In our study, the parameters K 1 , k 2 , k 3 and v b were not statistically significant different between all control and operated regions. This observation might correspond to the reported decrease of stability of K 1 , k 2 , k 3 compared to K i , NLR [ 31 , 34 , 35 ]. Cook et al stated that due to possible limitations of the model, the physiological significance of parameters k 2 and k 3 is not meaningful in relation to the mineralized skeleton [ 35 ].…”
Section: Discussionsupporting
confidence: 71%
“…Model equations in Eq. have been solved analytically and the PET measurement S(t) has been evaluated by using a cumulative representation of the IDIF and a variable delay t d between the input function and tissue signal.…”
Section: Methodsmentioning
confidence: 99%
“…The influx rate constant K i = K 1 k 3 /(k 2 + k 3 ) was calculated from the estimated parameters. Kinetic analysis was done with custom-developed program in Matlab, which utilizes a cumulative representation of the input functions (Simoncic and Jeraj 2011) that simplifies the kinetic analysis implementation and improves its accuracy when image-derived input function is used.…”
Section: Kinetic Analysismentioning
confidence: 99%